Abstract
This paper investigates the existence and asymptotic behavior of solutions for weighted -Laplacian integro-differential system with multipoint and integral boundary value condition in half line. When the nonlinearity term satisfies sub- growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree. Moreover, the existence of nonnegative solutions has been discussed.
Highlights
This paper investigates the existence and asymptotic behavior of solutions for weighted p t Laplacian integro-differential system with multipoint and integral boundary value condition in half line
In this paper, when p t is a general function, we investigate the existence and asymptotic behavior of solutions for weighted p t -Laplacian integrodifferential systems with multipoint and integral boundary value conditions
If u is a solution of 2.4 with 1.2, by integrating 2.4 from 0 to t, we find that t w t φ t, u t w 0 φ 0, u 0 g s ds
Summary
We consider the existence and asymptotic behavior of solutions for the following weighted p t -Laplacian integrodifferential system:. There are many results on the existence of solutions for p-Laplacian equation with integral boundary value conditions see 19–24. Results on the existence and asymptotic behavior of solutions for weighted p t -Laplacian integrodifferential systems with multipoint and integral boundary value conditions are rare. In this paper, when p t is a general function, we investigate the existence and asymptotic behavior of solutions for weighted p t -Laplacian integrodifferential systems with multipoint and integral boundary value conditions.
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